# Composition of Functions Worksheet - Page 2

Composition of Functions Worksheet
• Page 2
11.
If $f$($x$) = - 2$x$2 and $g$($x$) = 4$x$, evaluate the composite function ($g$o$f$)($x$).
 a. - 8$x$2 + $x$ b. - 8$x$3 c. - 8$x$ d. - 8$x$2

12.
If $f$($x$) = 4$x$ + 8 and $g$($x$) = - 10$x$, evaluate the composite function $g$[$f$(4)].
 a. - 240 b. 24 c. -152 d. 10

13.
If $f$($x$) = 11$x$ and $g$($x$) = 3$x$ - 2, find the value of $g$[$f$(- 3)].
 a. - 11 b. 33 c. - 101 d. - 33

14.
If $f$($x$) = $x$2 + 5 and $g$($x$) = 5$x$ + 4, find the value of $f$[$g$(6)].
 a. 41 b. 1161 c. 34 d. 5.2

15.
If $f$($x$) = - 5$x$ + 8 and $g$($x$) = $x$2, evaluate the composite function $f$[$g$(- 5)].
 a. -117 b. 25 c. 133 d. 8

$f$($x$) = 7 + 5$x$ - 2$x$2 and $g$($x$) = 2$x$ + 3, evaluate ($f$ o $g$)($x$).
 a. - 4$x$2 + 10$x$ + 11 b. - 8$x$2 - 14$x$ + 4 c. - 4$x$2 + 10$x$ + 17 d. 8$x$2 + 34$x$ + 40